Question

Question 3 (read the entire question first) The following data are based on a study of the relationship between car accidents and the use of cellular phones. Objective of the study is to show that using a cellular telephone while driving increases the chances of a car accident. Accident No Accident All 453 305 NoPhone 26 427 Phone 23 282 All 49 709 758 g) Let pl denote the probability of having a car accident while using a cellular telephone, and let p2 denote the probability of having a car accident while not using a cellular telephone. Describe the null and alternative hypothesis for the problem of showing that using a cellular telephone while driving increases the chances of a car accident. Ho: Ha: h) Do the data support the fact that using a cellular telephone while driving increases the chances of a car accident? Use a significance level a-0.07. Use both methods (p-value and the critical value approach) Write down the appropriate test statistic (check assumptions first) Write down the rejection region of your test. Compute the value of the test statistic and state your conclusion (in one sentence, state whether or not the test rejects the null hypothesis and in another sentence apply the results to the problem). Compute the p-value for this test. What is your decision? i) Calculate an appropriate confidence interval (two sided or lower or upper bond) and explain h ow it can be used to test the hypotheses. Does this interval contain zero? What does that mean? i) Sometimes the results from part fand i seem contradictory. If we want to compare whether the use of a cellular increases chances of having a car accident, which is the correct approach? Why?

Answer 1

teat Statistic 0